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Finding the Fourth Proportional to 3,926.64, 5,890.60 and 1,190

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Solution

The fourth proportional to 3,926.64, 5,890.60 and 1,190 is: 1,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.64 : 5,890.60 = 1,190 : x
  2. Step 2: Convert to fraction form
    3,926.64/5,890.60 = 1,190/x
  3. Step 3: Cross multiply
    3,926.64x = 5,890.60 × 1,190
  4. Step 4: Simplify right side
    3,926.64x = 7,009,814
  5. Step 5: Solve for x
    x = 7,009,814/3,926.64
  6. Step 6: Final answer
    x = 1,785.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.